A Variational Approach to Lyapunov Type Inequalities

DOI10.1007/978-3-319-25289-6zbMath1360.34001OpenAlexW2486930029MaRDI QIDQ2950341

Salvador Villegas, Antonio Cañada Villar

Publication date: 8 October 2015

Published in: SpringerBriefs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-25289-6

zbMATH Keywords

stabilityeigenvaluesordinary differential equationsDirichlet boundary conditionsvariational methodsNeumann boundary conditionsperiodic boundary conditionspartial differential equationsLyapunov-type inequalitiesantiperiodic boundary conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Stability of solutions to ordinary differential equations (34D20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Linear boundary value problems for ordinary differential equations (34B05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (13)

Existence of positive solutions to a discrete fractional boundary value problem and corresponding Lyapunov-type inequalities ⋮ Lyapunov-type inequalities for fractional Langevin-type equations involving Caputo-Hadamard fractional derivative ⋮ Heterogeneous population dynamics of active particles: Progression, mutations, and selection dynamics ⋮ Eigenvalue bounds and spectral asymptotics for fractal Laplacians ⋮ Lyapunov-type stability criterion for periodic generalized Camassa-Holm equations ⋮ LYAPUNOV-TYPE INEQUALITY FOR EXTREMAL PUCCI’S EQUATIONS ⋮ Lyapunov-type inequality for a fractional boundary value problem with natural conditions ⋮ Optimal control approach to stability criteria on Hill's equations ⋮ Sharp Lyapunov-type inequalities for second-order half-linear difference equations with different kinds of boundary conditions ⋮ Applications of generalized trigonometric functions with two parameters II ⋮ Some Rigorous Results on the 1:1 Resonance of the Spin-Orbit Problem ⋮ Lyapunov-type inequalities for fourth-order boundary value problems ⋮ On Uniqueness of Solutions to the Boundary Value Problems on the Sierpiński Gasket

This page was built for publication: A Variational Approach to Lyapunov Type Inequalities